✦ LIBER ✦

The skew-Cauchy distribution

✍ Scribed by Barry C. Arnold; Robert J. Beaver

Publisher: Elsevier Science
Year: 2000
Tongue: English
Weight: 81 KB
Volume: 49
Category: Article
ISSN: 0167-7152
DOI: 10.1016/s0167-7152(00)00059-6

No coin nor oath required. For personal study only.

✦ Synopsis

Suppose (X ; Y ) has a (k + 1)-dimensional Cauchy distribution. Consider the conditional distribution of X given Y ¿y0, for some ÿxed value of y0 ∈ R. The resulting distribution is the multivariate skewed Cauchy, in which there is truncation with respect to Y : this is but one of a general class of skewed distributions for which the initial distribution is symmetric. The skewing function, which depends upon the distribution of Y , need not be from the same family as the initial density.

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